Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order

Table 1

Comparison of absolute error in 𝑦(𝑡) in [50] and obtained using our method for Example 1.

𝛼	𝑡=0.1		𝑡=0.3		𝑡=0.7		𝑡=0.9
	Our result	Ref. [50]	Our result	Ref. [50]	Our result	Ref. [50]	Our result	Ref. [50]
0.2	8.6×10^−5	2.2×10^−1	2.6×10^−5	2.3×10^−1	1.1×10^−5	5.3×10^−1	1.0×10^−5	1.7×10^0
0.4	1.7×10^−4	6.3×10^−2	5.3×10^−5	6.0×10^−2	2.0×10^−5	1.2×10^−1	1.8×10^−5	3.0×10^−1
0.6	1.9×10^−4	1.5×10^−2	7.5×10^−5	1.3×10^−2	3.0×10^−5	2.1×10^−2	2.7×10^−5	3.7×10^−2
0.8	1.2×10^−4	2.9×10^−3	7.1×10^−5	2.1×10^−3	4.8×10^−5	2.5×10^−3	5.2×10^−5	2.1×10^−3
1.2	5.1×10^−3	1.9×10^−3	1.8×10^−2	1.6×10^−3	3.5×10^−2	2.9×10^−3	4.0×10^−2	1.6×10^−2
1.4	2.8×10^−4	2.0×10^−4	1.3×10^−3	1.6×10^−3	2.8×10^−3	4.9×10^−3	3.3×10^−3	3.3×10^−2
1.6	4.3×10^−5	6.3×10^−5	3.2×10^−5	7.3×10^−4	2.9×10^−5	2.3×10^−3	6.0×10^−5	1.3×10^−2
1.8	3.0×10^−5	3.8×10^−5	7.3×10^−5	2.0×10^−4	1.5×10^−4	5.9×10^−4	1.9×10^−4	2.8×10^−3